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Pick the CORRECT eigen value(s) of the matrix [A] from the following choices. [A] = [6 8 4 2]

1. 10
2. 4
3. -2
4. -10

Correct answer: 10

Solution

For A = [[6,8],[4,2]], trace = 8 and det = 12 - 32 = -20, so lambda^2 - 8 lambda - 20 = 0 gives lambda = 10 and lambda = -2. The valid eigenvalues are indices 0 (10) and 2 (-2); the stored value 4 (index 1) is not an eigenvalue.

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